Answer:
70% of the people at the fair are students
165 people are on the ride
Step-by-step explanation:
In order to find a percentage, take the fraction given, 385/550, and divide the numerator, 385, and divide it by the denominator, 550. Once completing this, we get 0.7
Next, we multiply the result by 100, and get 70, thus, 385 is 70% of 550.
To find how many people 30% of 550 is, we take the percentage and put it in a fraction with the denominator being 100(changes with size of fraction like a decimal, 300 would be over a denominator of 1000)
With 30/100, we then multiply by 550 with the equation looking like this:
30/100*550/1
Once we finish multiplying(typically using a calculator, although you can do it manually) we get 165, the value of how many people are on rides out of the total 550.
Answer:

Step-by-step explanation:
1) Cancle -60 on both sides.

2) Simplify 2x + 3x to 5x.

3) Since both sides are equal, there are infinitely many solutions.

<u>Therefor</u><u>,</u><u> </u><u>this</u><u> </u><u>equation</u><u> </u><u>has</u><u> </u><u>infinitely</u><u> </u><u>many</u><u> </u><u>solutions</u><u>.</u>
Answer:
Number of customers (double taco)= 45
Step-by-step explanation:
Giving the following information:
Double taco order rate= 15% = 0.15
Total number of customers= 300
<u>To calculate the number of customers that order two tacos, we need to use the following formula:</u>
Number of customers (double taco)= Double taco order rate*total number of taco
Number of customers (double taco)= 0.15*300
Number of customers (double taco)= 45
Answer:
x = -6/5
y =7/5
Step-by-step explanation:
2x + y = - 1
x - 2y = - 4
Multiply the first equation by 2 so we can eliminate y
2(2x + y = - 1)
4x + 2y = -2
Add this to the second equation
4x + 2y = -2
x - 2y = - 4
---------------------
5x + 0y = -6
Divide by 5
5x/5 = -6/5
x = -6/5
Multiply the second equation by -2 so we can eliminate x
-2(x - 2y = - 4)
-2x+4y = 8
Add this to the first equation
2x + y = - 1
-2x+4y = 8
---------------------
0x + 5y = 7
Divide by 5
5y/5 = 7/5
y =7/5
4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.
Start with

Taken mod 4, the last two terms vanish and we're left with

We have
, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.

Taken mod 7, the first and last terms vanish and we're left with

which is what we want, so no adjustments needed here.

Taken mod 9, the first two terms vanish and we're left with

so we don't need to make any adjustments here, and we end up with
.
By the Chinese remainder theorem, we find that any
such that

is a solution to this system, i.e.
for any integer
, the smallest and positive of which is 149.